Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.



A)C = 5π; A = 20π



B)C = 10π; A = 20π



C)C = 10π; A = 25π



D)C = 5π; A = 25π

Verified Answer :

A = π • r^2
C = 2 • π • r

A = 25 π
C = 10 π

Your answer is C) 10π; A = 25π 

Answer:

C)  C = 10π ;   A=25π

Step-by-step explanation:

We are ask to find the circumference and area of a circle with a diameter of 10 inches, but we are to leave our answer in terms of  π

First lets start by calculating the circumference.

The formula for calculating circumference of a circle is;

circumference = 2πr    where r=radius

But we were given diameter in the question to be 10, r = \(\frac{d}{2}\)  = \(\frac{10}{2}\) = 5

We can now proceed to insert our value into the equation

Circumference = 2 × π × 5  = 10π

Lets now go ahead to calculate the area of the circle

To calculate area of the circle, we use the formula;

Area = πr²

         = π×5×5

          =25π

Therefore C = 10π   and   A=25π